Finding the Fourth Proportional to 10,204.76, 14,082.37 and 5,728.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,204.76 : 14,082.37 = 5,728.16 : x
2. Step 2: Convert to fraction form
   10,204.76/14,082.37 = 5,728.16/x
3. Step 3: Cross multiply
   10,204.76x = 14,082.37 × 5,728.16
4. Step 4: Simplify right side
   10,204.76x = 80,666,068.54
5. Step 5: Solve for x
   x = 80,666,068.54/10,204.76
6. Step 6: Final answer
   x = 7,904.75